Bootstrapped total least squares orocline test: A robust method to quantify vertical-axis rotation patterns in orogens, with examples from the Cantabrian and Aegean oroclines
Bootstrapped total least squares orocline test: A robust method to quantify vertical-axis rotation patterns in orogens, with examples from the Cantabrian and Aegean oroclines
复制标题
自举总最小二乘山坡检验：一种量化造山带垂直轴旋转模式的稳健方法，以坎塔布连和爱琴海山坡为例
DOI：
10.1130/l547.1
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发表时间：
2017
期刊：
影响因子：
2.4
通讯作者：
Langereis C.G.
中科院分区：
文献类型：
--
作者：
Pastor-Galan D.;Mulchrone K.F.;Koymans M.;van Hinsbergen D.J.J.;Langereis C.G.
地球上的大多数山脉在平面图中都呈现出一定程度的弯曲，从轻微的弯曲到马蹄形。这种曲率可能发生在不同的尺度上，从单个推力片到整个板块边界。曲率可以通过造山作用期间或之后的垂直轴旋转获得，或者反映缩短方向或地貌特征的主要横向变化。因此，量化平面视图曲率的垂直轴旋转量有助于我们理解造山作用、地球动力学和古地理学。造山带测试评估垂直轴旋转在获取造山带曲率过程中发挥的作用程度。该测试通过线性回归量化结构趋势变化与地质结构方向之间的关系。然而，当前的 orocline 测试的数学方法显示出潜在的偏差。在本文中，我们的目标是通过开发一种新颖的 orocline 测试来克服这些偏差，该测试应用总体最小二乘 (TLS) 回归并结合一种新的引导方法。该 bootstrap TLS 山斜测试可用于从构造地质学、古地磁学或沉积学获取的所有类型的定向数据。它首次用置信带量化了二次曲率。我们还提供了几种图形和分析测试来评估结果的统计显着性。实现此方法的开源在线应用程序可在 www.paleomagnetism.org 上使用。我们通过重新分析坎特拉布里亚（伊比利亚西北部）和爱琴海（希腊）地区两个著名山坡的已发布数据集来说明该方法的使用。
Most mountain belts on Earth show some degree of curvature in plan view, from a slight bend to horseshoe shapes. Such curvatures may occur on different scales, from individual thrust sheets to entire plate boundaries. Curvature may be acquired by vertical-axis rotation during or after orogenesis, or reflect primary lateral variations in shortening directions or physiographical features. Quantifying the amount of vertical-axis rotations of plan-view curvature is therefore helpful to our understanding of orogenesis, geodynamics, and paleogeography. The orocline test assesses to what extent vertical-axis rotations have played a role in the acquisition of an orogen’s curvature. The test quantifies through linear regression the relationships between changes in structural trends and the orientations of a geologic fabric. However, the current mathematical approaches to the orocline test show potential biases.In this paper we aim to overcome such biases by developing a novel orocline test that applies total least squares (TLS) regression combined with a novel approach to bootstrapping. This bootstrap TLS orocline test can be used with all types of directional data acquired from structural geology, paleomagnetism, or sedimentology. It quantifies, for the first time, secondary curvature with confidence bands. We also provide several graphical and analytical tests to evaluate the statistical significance of the result. An open source online application implementing this method is available for use on www.paleomagnetism.org. We illustrate the use of the methodology by reanalyzing published data sets from two well-known oroclines in the Cantrabrian (northwest Iberia) and Aegean (Greece) regions.